📚 Recommended Mathematics Books
Topology (Munkres) | General Topology (Engelking) | Counterexamples in Topology | Rudin's AnalysisAs an Amazon associate, I earn from qualifying purchases.
I proved that $latex \lvert \mathbb{R} \rvert_{\geq} \neq \lvert \mathbb{R} \rvert \sqcap \geq$ and so disproved one of my conjectures.
The proof is currently available in the section “Some inequalities” of this PDF file.
The proof isn’t yet thoroughly checked for errors.
Note that I have not yet proved $latex \lvert \mathbb{R} \rvert_{>} \neq \lvert \mathbb{R} \rvert \sqcap >$, but the proof is expected to be similar to the above.
🔬 Advanced Mathematics References
- Sheaves in Geometry and Logic
- Categories for the Working Mathematician
- Stone Spaces
- Algebraic Topology (Hatcher)
- Concrete Mathematics
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“The proof isn’t yet thoroughly checked for errors.” Yes, and I found an error in the proof. I am now working on correcting this error.